Seven hundred adults who eat ice cream regularly were asked about their favorite ice cream. The following

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Seven hundred adults who eat ice cream regularly were asked about their favorite ice cream. The following table gives the two-way classification of their responses.

Chocolate Other Vanilla Men 98 79 123 109 143 Women 148

a. If one adult is randomly selected from these 700 adults, find the probability that this adult
i. Likes chocolate ice cream
ii. Is a woman
iii. Likes vanilla ice cream given that this adult is a woman
iv. Is a man given that this adult likes chocolate ice cream
b. Are events men and vanilla ice cream mutually exclusive? What about chocolate ice cream and vanilla ice cream?
c. Are events women and chocolate ice cream independent? Why or why not?

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